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OG18 OG19 OG20 OG2022 For the positive integers a, b, and k, $$a^{k}$$ || b means that $$a^{k}$$ is a divisor of b, but $$a^{k +1}$$ is not a divisor of b. If k is a positive integer and $$2^{k}$$ || 72, then k is equal to
OG19 OG20 OG2022 Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ?
OG19-数学分册 What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
OG19-数学分册 The figure shown above consists of three identical circles that are tangent to each other. If the area of the shaded region is $$64\sqrt{3} - 32\pi$$, what is the radius of each circle?
OG19-数学分册 Points A, B, C, and D, in that order, lie on a line. If AB= 3 cm, AC= 4 cm, and BD= 6 cm, what is CD, in centimeters?
OG19-数学分册 3, k, 2, 8, m, 3 The arithmetic mean of the list of numbers above is 4. If k and m are integers and $$ k\neq m$$, what is the median of the list?
OG19-数学分册 Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than Machine Y. At these rates, if the two machines together produce $$\frac{5}{4}$$w widgets in 3 days, how many days would it take Machine X alone to produce 2w widgets?
OG19-数学分册 How many integers x satisfy both $$2 < x\leq 4$$ and $$ 0\leq x \leq 3$$?
OG19-数学分册 If r and s are positive integers such that $$(2^{r})(4^{s}) = 16$$, then $$2r + s$$ =
OG19-数学分册 A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile= 5,280 feet)
Ready4 A certain right triangle has side lengths x, y, and z, where x=y. If the area of this triangular region is 8, which of the following is the value of x?
Ready4

For how many ordered pairs that are solutions of the system above are and both integers?
Ready4 If n is a positive integer and k + 2 = 3^{n}, which of the following could NOT be a value of k?
A wholesaler bought 1,200 radios for $18 each. The wholesaler sold 60 percent of the radios for $30 each and the rest for $15 each. What was the wholesaler's average (arithmetic mean) profit per radio?
The buyer of a new home must choose 2 of 4 types of flooring and 2 of 6 paint colors. How many different combinations of type of flooring and paint color are available to the home buyer?
GMAT、gmat题库、gmat模考、gmat考满分Yesterday each of the 35 members of a certain task force spent some time working on project P. The graph shows the number of hours and the number of members who spent that number of hours working on project P yesterday. What was the median number of hours that the members of the task force spent working on project P yesterday?
If x and y are positive integers, and $${x}^{3}{y}^{4}={2000}$$, which of the following is the value of $$xy$$?
几何 In the xy-plane, the point (-2, -3) is the center of a circle. The point (-2, 1) lies inside the circle and the point (4, -3) lies outside the circle. If the radius r of the circle is an integer, then r =
If the population of a certain country is 120,256,000 and its land area is 2,998,000 square kilometers, then the population per square kilometer is closest to which of the following?
PREP07 Test 2 A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?